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Full-Text Articles in Entire DC Network
Cross-Entropy Method Adapted For Evaluating The Teaching Quality Of University Physical Education Utilizing 2-Tuple Linguistic Neutrosophic Sets, Mengjun Wu, Yonghui Feng
Cross-Entropy Method Adapted For Evaluating The Teaching Quality Of University Physical Education Utilizing 2-Tuple Linguistic Neutrosophic Sets, Mengjun Wu, Yonghui Feng
Neutrosophic Sets and Systems
The evaluation of university physical education teaching quality helps measure the actual effectiveness of the courses and ensures the achievement of teaching objectives. Through evaluation, schools can identify deficiencies in teaching and make improvements, enhancing students' physical fitness and health. Additionally, evaluation provides data support for teaching reforms, aiding in curriculum optimization and strengthening faculty, thereby promoting the comprehensive development of physical education and fostering students' lifelong awareness of fitness and healthy lifestyles. The teaching quality evaluation of university physical education adopts the multiple attribute group decision-making (MAGDM) approach. Currently, cross-entropy (CE) model was constructed to handle the MAGDM. To …
Improving Teaching Quality Assessment In Smart Classrooms For English Majors: An Integrated Double-Valued Neutrosophic Decision-Making Model, Lu Luo, Cong Wang
Improving Teaching Quality Assessment In Smart Classrooms For English Majors: An Integrated Double-Valued Neutrosophic Decision-Making Model, Lu Luo, Cong Wang
Neutrosophic Sets and Systems
The evaluation of multimedia-based college English teaching aims to assess the impact of multimedia technology on teaching quality and student learning outcomes. With the introduction of multimedia, classroom interactivity is enhanced, and students' interest and engagement are increased. Additionally, multimedia provides more opportunities for self-directed learning, helping students reinforce knowledge outside the classroom. However, the evaluation must focus on the alignment of technology with teaching objectives and whether the use of multimedia truly improves students' language skills and classroom efficiency. The evaluation of smart classroom teaching quality for English majors in universities is a multi-attribute decision-making (MADM) problem. Recently, methods …
A Python Class For Neutrosophic Morphology, Lorenzo Affe, Giorgio Nordo, Florentin Smarandache
A Python Class For Neutrosophic Morphology, Lorenzo Affe, Giorgio Nordo, Florentin Smarandache
Neutrosophic Sets and Systems
In this work, we introduce a Python class, named NSmorph, developed to facilitate image manip ulation through neutrosophic morphological operations. This innovative approach extends traditional image processing methods by leveraging the flexibility of neutrosophic logic to handle uncertainty, indeterminacy, and noise in digital images. The class offers implementations of essential morphological operators, such as neu trosophic dilation, erosion, opening, and closing, providing a robust tool for applications where image clarity is often compromised, like medical imaging and surveillance. We detail the class structure and functions and provide multiple examples to demonstrate its practical applications and comparative advantages over classical morphological …
Comprehensive Framework For Collaborative Decision-Making In Evaluating Computer Network Security Using Interval Neutrosophic Information, Wenbao Qiao
Neutrosophic Sets and Systems
Computer network security (CNS) evaluation is crucial for protecting information assets and maintaining the stable operation of network systems. Through this evaluation, potential threats and vulnerabilities within the network can be systematically identified, effectively preventing possible cyber-attacks and data breaches. Additionally, network security evaluation helps enterprises and organizations allocate security resources appropriately, enhancing their ability to respond to emergencies and ensuring business continuity and data integrity. In summary, network security evaluation is one of the foundational tasks for achieving continuous, secure, and stable network operations. The CNS evaluation is multiple-attribute group decision making (MAGDM). Then, the generalized TODIM(GTODIM) approach has …
Integrated Decision-Making Framework For Employment And Entrepreneurship Abilities Evaluation Of Vocational College Students Under Double-Valued Neutrosophic Sets, Juan Wang
Neutrosophic Sets and Systems
The evaluation of vocational college students' employment and entrepreneurship abilities is a comprehensive assessment of their professional skills, job adaptability, innovation capabilities, and entrepreneurial qualities. The goal is to examine students' practical abilities, alignment with market demands, innovative thinking, and entrepreneurial spirit, helping them identify their strengths and weaknesses to enhance their competitiveness in the job market. This evaluation also provides insights for schools to improve their teaching methods, fostering students' overall development and better alignment with societal needs. The employment and entrepreneurship abilities evaluation of vocational college students is multi-attribute decision-making (MADM) problem. Recently, methods such as the MABAC …
On Some Novel Results About The Behavior Of Some Numerical Solutions Of A Neutrosophic Generalized Half – Linear Second Order Differential Equation, Norah Mousa Alrayes, Mayada Abualhomos, Mutaz Mohamed Abbas Ali, Amani Shatarah, Mai Mousa Mahmoud Alhejoj, Abdallah Al-Husban
On Some Novel Results About The Behavior Of Some Numerical Solutions Of A Neutrosophic Generalized Half – Linear Second Order Differential Equation, Norah Mousa Alrayes, Mayada Abualhomos, Mutaz Mohamed Abbas Ali, Amani Shatarah, Mai Mousa Mahmoud Alhejoj, Abdallah Al-Husban
Neutrosophic Sets and Systems
The generalized neutrosophic differential equation is a differential equation with with ��(�� +����) = ��(��+����)−��(��+����)��(��(��+����)) , Where we illustrate a numerical approach for the oscillation with indeterminacy element that represents the neutrosophic approach. neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second order differential equation with the negative and delayed neutral term as follows: (��(�� +����)��´(�� +����))´ +c(�� +����)��(��(��(�� +����)) ,��(�� +����)��´(�� +����)) = 0 . Also, the generalized neutrosophic half–linear differential equation of the second order with max term featured by the …
Aurelio M. Espinosa: An Ideological-Political Figure In Hispanic Studies In The United States., Dr. Inés Vañó García
Aurelio M. Espinosa: An Ideological-Political Figure In Hispanic Studies In The United States., Dr. Inés Vañó García
LAII Events
Wednesday, October 16, 2024 | 01:00 pm
Zoom
About:
Join LAII for a discussion led by Dr. Inés Vañó García as she presents her research concerning the formation of Hispanic Studies in the United States. The goal of her research is to unfold, examine, and contest the political history of the teaching of Spanish in the U.S. Drawing on the history of the American Association of Teachers of Spanish (AATS; 1916) as an internationally recognized institution, she examines the role of this association and its members in creating and shaping a new academic field. Within the emergence and positioning of …
Identification Of Influential Factors Affecting Student Performance In Semester Examinations In The Educational Institution Using Score Topological Indices In Single Valued Neutrosophic Graphs, S. Narasimman, M. Shanmugapriya, R. Sundareswaran, Laxmi Rathour, Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra
Identification Of Influential Factors Affecting Student Performance In Semester Examinations In The Educational Institution Using Score Topological Indices In Single Valued Neutrosophic Graphs, S. Narasimman, M. Shanmugapriya, R. Sundareswaran, Laxmi Rathour, Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra
Neutrosophic Sets and Systems
Education not only measures the progress of an individual, but it also contributes to the development of a community and a nation. To understand the factors that affect the academic performance of students in institutions of higher education, there are many factors within the institution and outside the institution that affect the academic performance of students. Includes affecting student academic performance are class size, parent-related factors, academic performance, the contribution of institutional factors to student academic performance, and the impact of poverty on students. The interplay of personal attributes, learning habits, prior academic preparation, and the school environment is essential …
Enhanced Tfnn-Gra Technique For Multiple-Attribute Decision-Making With Triangular Fuzzy Neutrosophic Information And Applications To Performance Evaluation Of Internally Cured High-Strength Concrete, Huayang Sun, Zhongyu Liu
Enhanced Tfnn-Gra Technique For Multiple-Attribute Decision-Making With Triangular Fuzzy Neutrosophic Information And Applications To Performance Evaluation Of Internally Cured High-Strength Concrete, Huayang Sun, Zhongyu Liu
Neutrosophic Sets and Systems
Internal curing technology involves the integration of internal curing materials into concrete, typically under pre-water storage conditions. This method works by gradually releasing water to increase the internal humidity of the concrete, which enhances the hydration of cementitious materials, reduces self-shrinkage in high-strength concrete (HSC), and improves its overall performance. Commonly used internal curing materials include absorbent resin and lightweight aggregates. However, using these materials in excessive amounts can compromise the strength or durability of the concrete, making it essential to determine the optimal dosage for effective application. When applied to HSC, internal curing helps mitigate shrinkage and enhances frost …
The 2- Refined Neutrosophic Hyperbolic Functions With Its Differential And Integrals, Yaser Ahmad Alhasan, Abuobida Alfahal, Raja Abdullah Abdulfatah
The 2- Refined Neutrosophic Hyperbolic Functions With Its Differential And Integrals, Yaser Ahmad Alhasan, Abuobida Alfahal, Raja Abdullah Abdulfatah
Neutrosophic Sets and Systems
This article's goal is to study the 2-refined neutrosophic hyperbolic functions by defining the 2-refined neutrosophic hyperbolic functions, discussing the 2-refined neutrosophic hyperbolic identities, introducing the rules for derivatives and integrals of the 2-refined neutrosophic hyperbolic functions, and presenting the logarithmic forms of the inverse 2-refined neutrosophic hyperbolic functions.
Triangular Fuzzy Quadripartitioned Neutrosophic Set And Its Properties, Tanmoy Chatterjee, Surapati Pramanik
Triangular Fuzzy Quadripartitioned Neutrosophic Set And Its Properties, Tanmoy Chatterjee, Surapati Pramanik
Neutrosophic Sets and Systems
The main objective of the paper is to hybridize the triangular fuzzy number and the quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty systematically. So, the combination of the triangular fuzzy numbers and quadripartitioned neutrosophic sets is an intelligent mathematical tool that will be a helpful mathematical tool for decision-making. We define some operations on the triangular fuzzy quadripartitioned neutrosophic sets such as union, intersection, and complement. We establish some important theorems on operations like union, intersection in between three triangular fuzzy quadripartitioned neutrosophic sets in an …
A Study On N-Th Derivative Of Neutrosophic Function And Neutrosophic Differential Equation, Gugu Narzary, Bhimraj Basumatary
A Study On N-Th Derivative Of Neutrosophic Function And Neutrosophic Differential Equation, Gugu Narzary, Bhimraj Basumatary
Neutrosophic Sets and Systems
Neutrosophic sets play an important role in addressing uncertainty, vagueness, and indeterminacy in problem-solving. In this research article, we deal with the concepts of the derivative of neutrosophic real functions. This article aims to understand the n-th order derivative of neutrosophic real functions. In addition, the n-th order neutrosophic differential equation is defined, and at the same time, we have established both the existence and uniqueness of the solution to the n-th order neutrosophic differential equation.
The Linear 2-Refined Neutrosophic Differential Equations, Yaser Ahmad Alhasan, Issam Mohammed Abdallah Abdalaziz, Raja Abdullah Abdulfatah, Qusay Alhassan
The Linear 2-Refined Neutrosophic Differential Equations, Yaser Ahmad Alhasan, Issam Mohammed Abdallah Abdalaziz, Raja Abdullah Abdulfatah, Qusay Alhassan
Neutrosophic Sets and Systems
In this paper, we studied the linear 2-refined neutrosophic differential equations and defined the homogeneous and non-homogeneous 2-refined neutrosophic differential equations. Also to presenting 2-refined neutrosophic differential equation of Bernoulli, which turns into a linear equation and thus facilitates its solution. Apart from talking about how to solve these equations and giving enough examples to support it.
A Study On Some Properties Of Fourier Integrals Based On Neutrosophic Function, Prasen Boro, Bhimraj Basumatary
A Study On Some Properties Of Fourier Integrals Based On Neutrosophic Function, Prasen Boro, Bhimraj Basumatary
Neutrosophic Sets and Systems
Fourier transforms is one of the oldest and a well-known technique in field of mathematic and engineering mathematical work. Fourier transform method represents the variable as a summation of complex exponentials. Fourier analysis has been used in signal processing and digital image processing for the analysis of a single image as a two-dimensional wave form, and many other type of form like Quantum mechanics, Signal processing, Image Processing. This analysis also represents filters, Transformation, representation, and encoding, Data Processing, Analysis and many more fields. In this article, some basics of Fourier Integrals have been discussed in terms of neutrosophic set. …
Deciphering The Geometric Bonferroni Mean Operator In Pythagorean Neutrosophic Sets Framework, Mohammad Shafiq Bin Mohammad Kamari, Zahari Bin Md. Rodzi, R.H. Al-Obaidi, Faisal Al-Sharqi, Ashraf Al-Quran, Rawan A. Shlaka
Deciphering The Geometric Bonferroni Mean Operator In Pythagorean Neutrosophic Sets Framework, Mohammad Shafiq Bin Mohammad Kamari, Zahari Bin Md. Rodzi, R.H. Al-Obaidi, Faisal Al-Sharqi, Ashraf Al-Quran, Rawan A. Shlaka
Neutrosophic Sets and Systems
The Geometric Bonferroni Mean (GBM), is an extension of The Bonferroni mean (BM), that combines both BM and the geometric mean, allowing for the representation of correlations among the combined factors while acknowledging the inherent uncertainty within the decision-making process. Within the framework of Pythagorean neutrosophic set (PNS) that encompasses truth, indeterminacy, and falsity-membership degrees, each criterion can be integrated into a unified PNS value, portraying the overall evaluation of that criterion by employing the Geometric Bonferroni mean. This study aims to enhance decision-making in Pythagorean neutrosophic framework by introducing an aggregation operator to PNS using the Geometric Bonferroni Mean. …
Similarity -Based Pattern Recognition For Disease Symptom Extraction And Characterization, Priya Mathews, Lovelymol Sebastian, Baiju Thankachan
Similarity -Based Pattern Recognition For Disease Symptom Extraction And Characterization, Priya Mathews, Lovelymol Sebastian, Baiju Thankachan
Neutrosophic Sets and Systems
Neutrosophic Fuzzy Sets (NFS) expand upon classical fuzzy sets in the field of fuzzy set theory by including measures of truth, indeterminacy, and falsity. This paper thoroughly examines the creation and assessment of similarity measures for Single-Valued Neutrosophic Fuzzy Sets (SVNFS). The similarity measure is a crucial metric that quantifies the extent of similarity between two sets. It finds extensive application in various fields such as pattern recognition, medical diagnosis, and decision-making challenges. Nevertheless, the current similarity measures of Neutrosophic Fuzzy Sets(NFS) suffer from limited practicality and interpretation, and do not yield highly reliable outcomes. In order to tackle this …
A Numerical Approach For The Algebra Of Two-Fold 2×2 Fuzzy Real Matrices And Anti Fuzzy Matrices, Ahmad A. Abubaker, Mayada Abualhomos, Khaled Matarneh, Abdallah Al-Husban
A Numerical Approach For The Algebra Of Two-Fold 2×2 Fuzzy Real Matrices And Anti Fuzzy Matrices, Ahmad A. Abubaker, Mayada Abualhomos, Khaled Matarneh, Abdallah Al-Husban
Neutrosophic Sets and Systems
This paper is dedicated to study for the first time the concept of square 2 × 2 fuzzy and anti-fuzzy two-fold matrix with real entries, where we present the two-fold algebraic operations between the these matrices and obtain their special properties such as associativity, commutative properties, and the existing of additive of multiplicative inverses. Also, we provide many examples to explain the two-fold algebraic properties and the two-fold algebraic structure.
On The Continuous And Differentiable Two-Fold Neutrosophic And Fuzzy Real Functions, Raed Hatamleh
On The Continuous And Differentiable Two-Fold Neutrosophic And Fuzzy Real Functions, Raed Hatamleh
Neutrosophic Sets and Systems
This paper is dedicated to defining the concepts of two-fold neutrosophic continuous functions, two-fold fuzzy continuous functions, and two-fold neutrosophic/fuzzy differentiable functions for the first time. The elementary properties of these novel concepts will be studied and handled through many theorems, as well as many clear examples that clarify the validity of these analytical concepts.
Single Valued Neutrosophic Number Ensemble Learning Model For Stability Classification Of Open Pit Mine Slopes, Hanzhong Wang, Jun Ye, Rui Yong
Single Valued Neutrosophic Number Ensemble Learning Model For Stability Classification Of Open Pit Mine Slopes, Hanzhong Wang, Jun Ye, Rui Yong
Neutrosophic Sets and Systems
China's open pit mining industry faces the dual challenge of increasing production and preventing disasters. In order to ensure the safe exploitation of mineral resources, the stability of slopes must be assessed. In light of the fact that over 1,950 landslide accidents have occurred over the past decade, accounting for 15% of all safety incidents, the evaluation of slope stability has become a critical research focus in the fields of geo-resources and geo-engineering. Traditional slope stability evaluation methods rely on empirical tools and the expertise of professionals to assess slope stability. In contrast, machine learning (ML) methods offer a more …
Enhancing Multiple-Attribute Decision-Making Framework For Talent Cultivation Quality Evaluation Through Using Weighted Dual Hamy Mean And Prioritized Aggregation Operators, Bing Sun, Dongyan Gao, Shujuan Yin
Enhancing Multiple-Attribute Decision-Making Framework For Talent Cultivation Quality Evaluation Through Using Weighted Dual Hamy Mean And Prioritized Aggregation Operators, Bing Sun, Dongyan Gao, Shujuan Yin
Neutrosophic Sets and Systems
With the rapid development of the economy and the transformation and upgrading of industrial structure, universities have increased their focus on theoretical knowledge and application, actively providing practical platforms for students, enriching the connection between theoretical knowledge and practice, deepening the reform of quality education, constructing a modern education system, and ensuring that students can adapt their professional skills to the requirements of industry technology in the field of computer information. Cultivating high-quality computer information talents can not only promote better employment for students, but also promote the development of computerinformation education in universities. The talent cultivation quality evaluation in …
Introduction To Algorithmic Ethics Under A Neutrosophic Framework: Re-Mapping The Debate, Antonios Paraskevas, Florentin Smarandache
Introduction To Algorithmic Ethics Under A Neutrosophic Framework: Re-Mapping The Debate, Antonios Paraskevas, Florentin Smarandache
Neutrosophic Sets and Systems
Algorithms have become an integral part of professional life and social interactions, in health, transport, commerce and industry. Moreover, they are bringing about changes in the natural, social and human sciences, enriching our knowledge and testing the limits of technology. In the age of artificial intelligence (AI), the ethical behavior of algorithms is facing increasing scrutiny. Traditional models that attempt to evaluate algorithm ethics using binary or probabilistic methods often fall short in addressing the complexity and uncertainties present in real-world situations. This study introduces a novel approach to assessing algorithmic ethics by utilizing neutrosophic indeterminacy. Neutrosophic logic, which considers …
Ng#− Irresolvable And Strongly − Irresolvable Spaces In Neutrosophic Topological Spaces, Martina Jency J, Babisha Julit R L, Pious Missier S
Ng#− Irresolvable And Strongly − Irresolvable Spaces In Neutrosophic Topological Spaces, Martina Jency J, Babisha Julit R L, Pious Missier S
Neutrosophic Sets and Systems
The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by N g #− resolvable spaces, N g #− irresolvable spaces and strongly N g #− irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations.
Modeling Uncertainties Associated With Single-Valued Neutrosophic Multi-Attribute Decision-Making For Performance Evaluation Of Risk Investment In Small And Medium-Sized High-Technology Venture Enterprises, Huihui Shi, Ting Li, Fan Yang, Lei Qiao
Modeling Uncertainties Associated With Single-Valued Neutrosophic Multi-Attribute Decision-Making For Performance Evaluation Of Risk Investment In Small And Medium-Sized High-Technology Venture Enterprises, Huihui Shi, Ting Li, Fan Yang, Lei Qiao
Neutrosophic Sets and Systems
In recent years, a group of rapidly growing technology-based entrepreneurial enterprises have emerged in China, playing an increasingly important role in the national economy. However, small and medium sized technology startups have low profitability and high risk, making it difficult to obtain sufficient funds from traditional financing channels. At present, research on venture capital evaluation mainly focuses on the evaluation of projects before venture capital, and empirical methods are mostly used to study the promoting effect of venture capital on performance after investment, ignoring the issue of continuous evaluation after investment. The performance evaluation of risk investment in small and …
Enhanced T2nn-Logtodim-Topsis Framework For Assessing Vocational College Students' Employment Quality Using Type-2 Neutrosophic Numbers, Ziyan Wang, Xifeng He
Enhanced T2nn-Logtodim-Topsis Framework For Assessing Vocational College Students' Employment Quality Using Type-2 Neutrosophic Numbers, Ziyan Wang, Xifeng He
Neutrosophic Sets and Systems
With the ongoing development of vocational education in our country, the employment quality of vocational college graduates has emerged as a crucial metric for assessing the overall strength and effectiveness of these institutions. Establishing a robust employment quality evaluation system for vocational colleges not only complements and enhances their employment-related efforts, but also represents a critical step toward improving the broader educational and teaching practices within these institutions. Currently, the construction of such evaluation systems tends to focus primarily on professional education and teaching. While this approach has undoubtedly contributed to improving the quality of vocational education, it often overlooks …
Enhancing Dvnn-Wcsm Technique For Double-Valued Neutrosophic Multiple-Attribute Decision-Making In Digital Economy: A Case Study On Enhancing The Quality Of Development Of Henan's Cultural And Tourism Industry, Yourong Guo
Neutrosophic Sets and Systems
Henan Province is the core area of the Yellow River Basin and an important area for inheritance of Yellow River culture. Promoting the development of the cultural and tourism industry in Henan Province essentially involves integrating the cultural resources of the Yellow River in Henan Province, creating cultural tourism products and projects with the cultural characteristics of the Yellow River region, thereby enriching the content of Henan's tourism industry and promoting its economic development. In the future development of the cultural and tourism industry, Henan Province not only needs to solve current problems of insufficient industrial competitiveness, lack of product …
Neutrosophic Sets And Systems, Vol. 75,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel Leyva-Vazquez
Neutrosophic Sets And Systems, Vol. 75,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel Leyva-Vazquez
Neutrosophic Sets and Systems
the whole volume
Spanish & Portuguese 2024 Apr Self-Study & Documents, Unm Academic Program Review
Spanish & Portuguese 2024 Apr Self-Study & Documents, Unm Academic Program Review
UNM Academic Program Review
UNM Spanish & Portuguese APR self-study report, review team report, response report, and initial action plan for Fall 2024, fulfilling requirements of the Higher Learning Commission.
2023 Learning & Outreach Services (Unm University Libraries) Assessment Framework, Holly M. Surbaugh, Olivia Baca
2023 Learning & Outreach Services (Unm University Libraries) Assessment Framework, Holly M. Surbaugh, Olivia Baca
University Libraries & Learning Sciences Faculty and Staff Publications
In 2022-2023, the Learning & Outreach Services (LORS) department within the University of New Mexico’s Libraries responded to post-pandemic challenges with a renewed focus on project-driven strategic planning, setting an annual goal to develop a LORS-specific assessment program. The LORS assessment team grappled with how to operationalize the literature on library assessment at a level that makes sense for a department of 12 librarians within a larger library organization. The LORS assessment team ultimately developed a consensus-driven, appropriately scaled assessment framework tailored for our department’s scope and context. The framework includes a guidance document, an impact map, and planning templates. …
Professor Durwood Ball Oral History New Mexico Historical Review Part 1 Fall 2024, Holly Guise
Professor Durwood Ball Oral History New Mexico Historical Review Part 1 Fall 2024, Holly Guise
Oral Histories HIST 300, Fall 2024
Students from Dr. Holly Guise's Oral History class 300/500 interview Dr. Durwood Ball about the New Mexico Historical Review and his experience. Part 1 recorded on October 8, 2024
New Mexico Health Care Workforce Committee 2024 Annual Report, University Of New Mexico - Health Sciences Center
New Mexico Health Care Workforce Committee 2024 Annual Report, University Of New Mexico - Health Sciences Center
New Mexico Health Care Workforce Committee (2013-ongoing)
No abstract provided.